f01edc

Real symmetric matrix exponential 
f01efc

Function of a real symmetric matrix 
f01mcc

LDL^{T} factorization of real symmetric positive definite variablebandwidth (skyline) matrix

f02aac

All eigenvalues of real symmetric matrix 
f02abc

All eigenvalues and eigenvectors of real symmetric matrix 
f03bfc

LL^{T} factorization and determinant of real symmetric positive definite matrix

f03bhc

Determinant of real symmetric positive definite banded matrix 
f04bdc

Computes the solution and errorbound to a real symmetric positive definite system of linear equations 
f04bec

Computes the solution and errorbound to a real symmetric positive definite system of linear equations, packed storage 
f04bfc

Computes the solution and errorbound to a real symmetric positive definite banded system of linear equations 
f04bgc

Computes the solution and errorbound to a real symmetric positive definite tridiagonal system of linear equations 
f04bhc

Computes the solution and errorbound to a real symmetric system of linear equations 
f04bjc

Computes the solution and errorbound to a real symmetric system of linear equations, packed storage 
f04dhc

Computes the solution and errorbound to a complex symmetric system of linear equations 
f04djc

Computes the solution and errorbound to a complex symmetric system of linear equations, packed storage 
f04mcc

Approximate solution of real symmetric positive definite variablebandwidth simultaneous linear equations (coefficient matrix
already factorized by f01mcc)

f07fbc

Uses the Cholesky factorization to compute the solution, errorbound and condition estimate for a real symmetric positive
definite system of linear equations

f07fdc

Cholesky factorization of real symmetric positive definite matrix 
f07fec

Solution of real symmetric positive definite system of linear equations, multiple righthand sides, matrix already factorized
by f07fdc 
f07ffc

Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition
number

f07fgc

Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07fdc 
f07fhc

Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple righthand sides 
f07fjc

Inverse of real symmetric positive definite matrix, matrix already factorized by f07fdc 
f07gac

Computes the solution to a real symmetric positive definite system of linear equations, packed storage 
f07gbc

Uses the Cholesky factorization to compute the solution, errorbound and condition estimate for a real symmetric positive
definite system of linear equations, packed storage

f07gdc

Cholesky factorization of real symmetric positive definite matrix, packed storage 
f07gec

Solution of real symmetric positive definite system of linear equations, multiple righthand sides, matrix already factorized
by f07gdc, packed storage

f07gfc

Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition
number, packed storage

f07ggc

Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07gdc, packed storage

f07ghc

Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple righthand sides,
packed storage

f07gjc

Inverse of real symmetric positive definite matrix, matrix already factorized by f07gdc, packed storage

f07hac

Computes the solution to a real symmetric positive definite banded system of linear equations 
f07hbc

Uses the Cholesky factorization to compute the solution, errorbound and condition estimate for a real symmetric positive
definite banded system of linear equations

f07hdc

Cholesky factorization of real symmetric positive definite band matrix 
f07hec

Solution of real symmetric positive definite band system of linear equations, multiple righthand sides, matrix already factorized
by f07hdc 
f07hfc

Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition
number

f07hgc

Estimate condition number of real symmetric positive definite band matrix, matrix already factorized by f07hdc 
f07hhc

Refined solution with error bounds of real symmetric positive definite band system of linear equations, multiple righthand
sides

f07jac

Computes the solution to a real symmetric positive definite tridiagonal system of linear equations 
f07jbc

Uses the modified Cholesky factorization to compute the solution, errorbound and condition estimate for a real symmetric
positive definite tridiagonal system of linear equations

f07jdc

Computes the modified Cholesky factorization of a real symmetric positive definite tridiagonal matrix 
f07jec

Solves a real symmetric positive definite tridiagonal system using the modified Cholesky factorization computed by f07jdc 
f07jgc

Computes the reciprocal of the condition number of a real symmetric positive definite tridiagonal system using the modified
Cholesky factorization computed by f07jdc 
f07jhc

Refined solution with error bounds of real symmetric positive definite tridiagonal system of linear equations, multiple righthand
sides

f07mdc

Bunch–Kaufman factorization of real symmetric indefinite matrix 
f07mec

Solution of real symmetric indefinite system of linear equations, multiple righthand sides, matrix already factorized by
f07mdc 
f07mgc

Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07mdc 
f07mhc

Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple righthand sides 
f07mjc

Inverse of real symmetric indefinite matrix, matrix already factorized by f07mdc 
f07nrc

Bunch–Kaufman factorization of complex symmetric matrix 
f07nsc

Solution of complex symmetric system of linear equations, multiple righthand sides, matrix already factorized by f07nrc 
f07nuc

Estimate condition number of complex symmetric matrix, matrix already factorized by f07nrc 
f07nvc

Refined solution with error bounds of complex symmetric system of linear equations, multiple righthand sides 
f07nwc

Inverse of complex symmetric matrix, matrix already factorized by f07nrc 
f07pac

Computes the solution to a real symmetric system of linear equations, packed storage 
f07pbc

Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage 
f07pdc

Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage 
f07pec

Solution of real symmetric indefinite system of linear equations, multiple righthand sides, matrix already factorized by
f07pdc, packed storage

f07pgc

Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07pdc, packed storage

f07phc

Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple righthand sides, packed
storage

f07pjc

Inverse of real symmetric indefinite matrix, matrix already factorized by f07pdc, packed storage

f07qnc

Computes the solution to a complex symmetric system of linear equations, packed storage 
f07qpc

Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations, packed
storage

f07qrc

Bunch–Kaufman factorization of complex symmetric matrix, packed storage 
f07qsc

Solution of complex symmetric system of linear equations, multiple righthand sides, matrix already factorized by f07qrc, packed storage

f07quc

Estimate condition number of complex symmetric matrix, matrix already factorized by f07qrc, packed storage

f07qvc

Refined solution with error bounds of complex symmetric system of linear equations, multiple righthand sides, packed storage 
f07qwc

Inverse of complex symmetric matrix, matrix already factorized by f07qrc, packed storage

f08fac

Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix 
f08fbc

Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix 
f08fcc

Computes all eigenvalues and, optionally, all eigenvectors of real symmetric matrix (divideandconquer) 
f08fdc

Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix (Relatively Robust Representations) 
f08fec

Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form 
f08flc

Computes the reciprocal condition numbers for the eigenvectors of a real symmetric or complex Hermitian matrix or for the
left or right singular vectors of a general matrix

f08fsc

Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form 
f08gac

Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix, packed storage 
f08gbc

Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix, packed storage 
f08gcc

Computes all eigenvalues and, optionally, all eigenvectors of real symmetric matrix, packed storage (divideandconquer) 
f08gec

Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form, packed storage 
f08gsc

Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form, packed storage 
f08hac

Computes all eigenvalues and, optionally, eigenvectors of a real symmetric band matrix 
f08hbc

Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric band matrix 
f08hcc

Computes all eigenvalues and, optionally, all eigenvectors of real symmetric band matrix (divideandconquer) 
f08hec

Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form 
f08hsc

Unitary reduction of complex Hermitian band matrix to real symmetric tridiagonal form 
f08jbc

Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix 
f08jcc

Computes all eigenvalues and, optionally, all eigenvectors of real symmetric tridiagonal matrix (divideandconquer) 
f08jdc

Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix (Relatively Robust Representations) 
f08jec

All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from real symmetric matrix using the implicit
QL or QR algorithm

f08jfc

All eigenvalues of real symmetric tridiagonal matrix, rootfree variant of the QL or QR algorithm

f08jgc

Computes all eigenvalues and eigenvectors of real symmetric positive definite tridiagonal matrix, reduced from real symmetric
positive definite matrix

f08jhc

Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a matrix reduced to this
form (divideandconquer)

f08jjc

Selected eigenvalues of real symmetric tridiagonal matrix by bisection 
f08jkc

Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in real array 
f08jlc

Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a symmetric matrix reduced
to this form (Relatively Robust Representations)

f08jsc

All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from complex Hermitian matrix, using the implicit
QL or QR algorithm

f08juc

Computes all eigenvalues and eigenvectors of real symmetric positive definite tridiagonal matrix, reduced from complex Hermitian
positive definite matrix

f08jvc

Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix
reduced to this form (divideandconquer)

f08jxc

Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in complex array 
f08jyc

Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix
reduced to this form (Relatively Robust Representations)

f08ufc

Computes a split Cholesky factorization of real symmetric positive definite band matrix A 
f11gdc

Real sparse symmetric linear systems, setup for f11gec 
f11gec

Real sparse symmetric linear systems, preconditioned conjugate gradient or Lanczos method or the MINRES algorithm 
f11gfc

Real sparse symmetric linear systems, diagnostic for f11gec 
f11jac

Incomplete Cholesky factorization (symmetric) 
f11jcc

Solver with incomplete Cholesky preconditioning (symmetric) 
f11jdc

Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse symmetric matrix 
f11jec

Solver with Jacobi, SSOR, or no preconditioning (symmetric) 
f11xec

Real sparse symmetric matrix vector multiply 
f11zbc

Sparse sort (symmetric) 
f16pcc

Matrixvector product, real symmetric matrix 
f16pdc

Matrixvector product, real symmetric band matrix 
f16pec

Matrixvector product, real symmetric packed matrix 
f16ppc

Rank1 update, real symmetric matrix 
f16pqc

Rank1 update, real symmetric packed matrix 
f16prc

Rank2 update, real symmetric matrix 
f16psc

Rank2 update, real symmetric packed matrix 
f16rcc

1norm, ∞norm, Frobenius norm, largest absolute element, real symmetric matrix

f16rdc

1norm, ∞norm, Frobenius norm, largest absolute element, real symmetric matrix, packed storage

f16rec

1norm, ∞norm, Frobenius norm, largest absolute element, real symmetric band matrix

f16tac

Matrixvector product, complex symmetric matrix 
f16tcc

Matrixvector product, complex symmetric packed matrix 
f16ufc

1norm, ∞norm, Frobenius norm, largest absolute element, complex symmetric matrix

f16ugc

1norm, ∞norm, Frobenius norm, largest absolute element, complex symmetric matrix, packed storage

f16ycc

Matrixmatrix product, one real symmetric matrix, one real rectangular matrix 
f16ypc

Rankk update of a real symmetric matrix

f16yrc

Rank2k update of a real symmetric matrix

f16ztc

Matrixmatrix product, one complex symmetric matrix, one complex rectangular matrix 
f16zuc

Rankk update of a complex symmetric matrix

f16zwc

Rank2k update of a complex symmetric matrix
